Finite Group Databasebeta

← Group #11786749

Character table — Group #11786749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order12222233444466666612121212366666661212121212121212121266881212242424242424242424242424242424242244444444441212121212121212446612121212121212121212444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1i−ii−i11-1-11111-1-1-1-1i−i1-1ii−i−i1-1ii−i−iii−i−i1-1
χ1011-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i1-11-1−ii−ii-1-111-1-1-1-11111i−i1-1−i−iii1-1ii−i−i−i−iii-11
χ1111-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11i−ii−i11-1-11111-1-1-1-1−ii-11ii−i−i-11−i−iii−i−iii-11
χ1211-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i-11-11−ii−ii-1-111-1-1-1-11111−ii-11−i−iii-11−i−iiiii−i−i1-1
χ1311-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1i−ii−i-1-111-1-1-1-11111−ii1-1ii−i−i1-1−i−iiiii−i−i-11
χ1411-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii1-11-1−ii−ii11-1-11111-1-1-1-1−ii1-1−i−iii1-1−i−iii−i−iii1-1
χ1511-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11i−ii−i-1-111-1-1-1-11111i−i-11ii−i−i-11ii−i−i−i−iii1-1
χ1611-1-1-11111-1-11-11-1-11-111-1-11-11-1-1-1111-111-111-1-1-11-1−ii1-1−i−iii−i−i−i−i−i−iiiiiii-11-11−ii−ii11-1-11111-1-1-1-1i−i-11−i−iii-11ii−i−iii−i−i-11
χ1722222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000000000000000000000002-22-200
χ1822222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000000000000000-22-2200
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χ25222222-1222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-12-1-1-1-1-2-2-1-11111-2-21111-2-2111100002222-2-2-2-2111111110000-1-1-1-1000000000000
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χ282222-2-2222-22-222222222222-2-2-2222-2-2-22-2-222222-2-200-2-20000000000000000-2-222000000000000000000-2-20000220000000000
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χ302222-2-222-22-22222222-2-2-2-22-2-2-2222-222-222-2-2-2-2-2-2-2002200000000000000000000-2-2220000000000000000-22-22000000000000
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χ362222-2-2-12-22-222-1-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-13−33−3003−33−3003−33−30000-2-2220000−3−333−3−33300001-11-1000000000000
χ372222-2-2-12-22-222-1-1-1221111-11-2-2-1-1-11-1-1-22211-2111100-1-1−33−3300−33−3300−33−33000022-2-20000−3−333−3−3330000-11-11000000000000
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χ4122-2-22-222-2-222-22-2-22-2-2-22222-22-2-22-22-2-22-2-2-2222-22002-2000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i000000000000
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χ4622-2-22-22-122-2-212-2-2-1122-2-2-121-111-1-2-22-11-1-1-11111-1001-10000−33−3−3333−333−3−3-222-20000000000000000001-10000-113−3−33000000
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χ894-44-400-240000-42-22-44−2323−2323-2000-222000000−23230−23230000000000000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ904-44-400-240000-42-22-44−2323−2323-2000-222000000−23230−2323000000000000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ914-4-44004400004-4-44-4-400004000-44-4000000000000000000000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000
χ924-4-44004400004-4-44-4-400004000-44-400000000000000000000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ934-4-4400-240000422-2-4-423−23−2323-20002-2200000023−230−23230000000000000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1100000000000000000000
χ944-4-4400-240000422-2-4-423−23−2323-20002-2200000023−230−2323000000000000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1100000000000000000000
χ954-4-4400-240000422-2-4-4−232323−23-20002-22000000−2323023−230000000000000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1100000000000000000000
χ964-4-4400-240000422-2-4-4−232323−23-20002-22000000−2323023−23000000000000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1100000000000000000000
χ978-88-8008-400004-88-84-40000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4000044-444-443−4343−4320002-2-2000000−23230−232300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4000044-444-4−4343−434320002-2-200000023−23023−2300000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-40000-4-8-88440000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000-444-44443−43−43432000-22-2000000−2323023−2300000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-40000-444-444−434343−432000-22-200000023−230−232300000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.